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Finding the Fourth Proportional to 506,772.13, 699,345.33 and 277,329.40

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Solution

The fourth proportional to 506,772.13, 699,345.33 and 277,329.40 is: 382,714.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,772.13 : 699,345.33 = 277,329.40 : x
  2. Step 2: Convert to fraction form
    506,772.13/699,345.33 = 277,329.40/x
  3. Step 3: Cross multiply
    506,772.13x = 699,345.33 × 277,329.40
  4. Step 4: Simplify right side
    506,772.13x = 193,949,021,907.17
  5. Step 5: Solve for x
    x = 193,949,021,907.17/506,772.13
  6. Step 6: Final answer
    x = 382,714.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.